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Write down all the factors of 108 and 252.

Hence

2)108

2)54

3)27

3)9

3)3 =

&

2)252

2)126

2)63

3)21

3)7

7)7 = 1

'2' appears in both division sets twice; 2 x 2 = 4

'3' appears in both division sets twice also 3 x 3 = 9

Hence 3 x 9 = 36 Hence '36' is the HCF.

NB The '7' and the remaining '3' are NOT common to both sets, so they cannot be part of the HCF.

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lenpollock

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The GCF/HCF of 108 and 252 is 36.

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Wiki User

15y ago
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Q: What is the highest common factor of 108 and 252?
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If the highest common factor of 120 and 252 is 12 10*12 = 120 21*12 = 252 Then it follows that the highest common factor of CXX and CCLII is XII X*XII = CXX XXI*XII = CCLII


What is the highest common factor out of 196 and 252?

To find the highest common factor (HCF) of 196 and 252, we first need to find the factors of each number. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252. The highest common factor of 196 and 252 is 28, as it is the greatest number that divides both 196 and 252 without leaving a remainder.


Is 72 a hcf of six and LCM of 252?

No. It can be neither. HCF is Highest Common Factor; a factor of a number is a number which divides into it with no remainder. Thus all factors are less than or equal to the number. 72 is greater than 6, therefore it cannot be a factor of 6, nor the Highest Common Factor of 6 and another number. LCM is Lowest Common Multiple; a multiple of a number is that number times some other number. Thus all multiples are greater than or equal to the number. 72 is less than 252, therefore it cannot be a multiple of 252, nor can it be the Lowest Common Multiple of 252 and another number. However, 6 is a factor of 72, thus 6 could be the HCF of 72 and another number, eg hcf(30, 72) = 6. But 252 is not a multiple of 72, so 252 could not be a LCM of 72 and some other number.


What is the greatest common factor of 252 and 60?

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What is the greatest common factor of 252 and 96?

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